journal article·2012-05Open access

Spintronics and pseudospintronics in graphene and topological insulators

Dmytro Pesin, Allan H. MacDonald

Nature Materials· Volume 11· Issue 5

Abstract

The two-dimensional electron systems in graphene and in topological insulators are described by massless Dirac equations. Although the two systems have similar Hamiltonians, they are polar opposites in terms of spin-orbit coupling strength. We briefly review the status of efforts to achieve long spin-relaxation times in graphene with its weak spin-orbit coupling, and to achieve large current-induced spin polarizations in topological-insulator surface states that have strong spin-orbit coupling. We also comment on differences between the magnetic responses and dilute-moment coupling properties of the two systems, and on the pseudospin analogue of giant magnetoresistance in bilayer graphene.
Source: europepmc · Quality: candidate unverified · Source record ↗

Research context

OpenAlex topics: Topological Materials and Phenomena · Graphene research and applications · Advanced Physical and Chemical Molecular Interactions

SciVX discovery tags are terminology-based. OpenAlex topics are source-provided classifications.

References (95)

Show source-provided references
1. Zutić, I., Fabian, J. & Das Sarma, S. Spintronics: fundamentals and applications. Rev. Mod. Phys. 76, 323–345 (2004).10.1103/RevModPhys.76.323 ↗
2. Geim A. K. & MacDonald, A. H. Exploring carbon flatland. Phys. Today 60, 35–41 (August 2007).10.1063/1.2774096 ↗
3. Castro Neto, A. H., Guinea, F., Torres, N. M. R., Novoselov, K. S. & Geim, A. K. The electronic properties of graphene. Rev. Mod. Phys. 81, 109–162 (2009).10.1103/RevModPhys.81.109 ↗
4. Hasan, M. Z. & Kane, C. L. Topological insulators. Rev. Mod. Phys. 82, 3045–3067 (2010).10.1103/RevModPhys.82.3045 ↗
5. Qi, X-L. & Zhang, S-C. Topological insulators and superconductors. Rev. Mod. Phys. 83, 1057–1110 (2011).10.1103/RevModPhys.83.1057 ↗
6. Jansen, R. Silicon spintronics. Nature Mater. 11, 400–408 (2012).10.1038/nmat3293 ↗
7. MacDonald, A. H., Schiffer, P. & Samarth, N. Ferromagnetic semiconductors: moving beyond (Ga,Mn)As. Nature Mater. 4, 195–202 (2005).10.1038/nmat1325 ↗
8. Yazyev, O. V. Emergence of magnetism in grapheme materials and nanostructures. Rep. Prog. Phys. 73, 056501 (2010).10.1088/0034-4885/73/5/056501 ↗
9. Abanin, D. A. & Pesin, D. A. Ordering of magnetic impurities and tunable electronic properties of topological insulators. Phys. Rev. Lett. 106, 136802 (2011).10.1103/PhysRevLett.106.136802 ↗
10. Zhu, J-J., Yao, D-X., Zhang, S-C. & Chang, K. Electrically controllable surface magnetism on the surface of topological insulator. Phys. Rev. Lett. 106, 097201 (2011).10.1103/PhysRevLett.106.097201 ↗
11. Brataas, A., Kent, A. D. & Ohno, H. Current-induced torques in magnetic materials. Nature Mater. 11, 372–381 (2012).10.1038/nmat3311 ↗
12. Bauer, G. E. W., Saitoh, E. & van Wees, B. J. Spin caloritronics. Nature Mater. 11, 391–399 (2012).10.1038/nmat3301 ↗
13. Jungwirth, T., Wunderlich, J. & Olejník, K. Spin Hall effect devices. Nature Mater. 11, 382–390 (2012).10.1038/nmat3279 ↗
14. Miron, I. M. et al. Perpendicular switching of a single ferromagnetic layer induced by in-plane current injection. Nature 476, 189–193 (2011).10.1038/nature10309 ↗
15. Liu, L., Lee, O. J., Gudmundsen, T. J., Ralph, D. C. & Buhrman, R. A. Magnetic switching by spin torque from the spin Hall effect. Preprint at http://arXiv.org/abs/1110.6846v2 (2011).
16. Wang, G., Endicott, L. & Uher, C. Recent advances in the growth of Bi-Sb-Te-Se thin films. Sci. Adv. Mater. 3, 539–560 (2011).10.1166/sam.2011.1182 ↗
17. Kane, C. L. & Mele, E. J. Quantum spin Hall effect in graphene. Phys. Rev. Lett. 95, 226801 (2005).10.1103/PhysRevLett.95.226801 ↗
18. Huertas-Hernando, D., Guinea, F. & Brataas, A. Spin–orbit coupling in curved graphene, fullerenes, nanotubes, and nanotube caps. Phys. Rev. B 74, 155426 (2006).10.1103/PhysRevB.74.155426 ↗
19. Min, H. et al. Intrinsic and Rashba spin–orbit interactions in graphene sheets. Phys. Rev. B 74, 165310 (2006).10.1103/PhysRevB.74.165310 ↗
20. Ando, T. Spin–orbit interaction in carbon nanotubes. J. Phys. Soc. Jpn 69, 1757–1763 (2000).10.1143/JPSJ.69.1757 ↗
21. Kuemmeth, F., Ilani, S., Ralph, D. C. & McEuen, P. L. Coupling of spin and orbital motion of electrons in carbon nanotubes. Nature 452, 448–452 (2008).10.1038/nature06822 ↗
22. Yao, Y., Ye, F., Qi, X. L., Zhang, S. C. & Fang, Z. Spin–orbit gap of graphene: first-principles calculations. Phys. Rev. B 75, 041401 (2007).10.1103/PhysRevB.75.041401 ↗
23. Gmitra, M., Konschuh, S., Ertler, C., Ambrosch-Draxl, C. & Fabian, J. Band-structure topologies of graphene: spin–orbit coupling effects from first principles. Phys. Rev. B 80, 235431 (2009).10.1103/PhysRevB.80.235431 ↗
24. Elias, D. C. et al. Dirac cones reshaped by interaction effects in suspended graphene. Nature Phys. 7, 701–704 (2011).10.1038/nphys2049 ↗
25. Elliott, R. J. Theory of the effect of spin–orbit coupling on magnetic resonance in some semiconductors. Phys. Rev. 96, 266–279 (1954).10.1103/PhysRev.96.266 ↗
26. Yafet, Y. in Solid State Physics Vol. 14 (eds Seitz, F. & Turnbull, D.) 1 (Academic, 1963).
27. Hill, E. W., Geim, A. K., Novoselov, K., Schedin, F. & Blake, P. Graphene spin valve devices. IEEE Trans. Magn. 42, 2694–2696 (2006).10.1109/TMAG.2006.878852 ↗
28. Tombros, N., Jozsa, C., Popinciuc, M., Jonkman, H. T. & van Wees, B. J. Electronic spin transport and spin precession in single graphene layers at room temperature. Nature 448, 571–574 (2007).10.1038/nature06037 ↗
29. Cho, S., Chen, Y. F. & Fuhrer, M. S. Gate-tunable graphene spin valve. Appl. Phys. Lett. 91, 123105 (2007).10.1063/1.2784934 ↗
30. Nishioka, M. & Goldman, A. M. Spin transport through multilayer graphene. Appl. Phys. Lett. 90, 252505 (2007).10.1063/1.2750397 ↗
31. Ohishi, M. et al. Spin injection into a graphene thin film at room temperature. Jpn. J. Appl. Phys. 46, L605–L607 (2007).10.1143/JJAP.46.L605 ↗
32. Wang, W. H. et al. Magnetotransport properties of mesoscopic graphite spin valves. Phys. Rev. B 77, 020402 (2008).10.1103/PhysRevB.77.020402 ↗
33. J'ozsa, C. et al. Linear scaling between momentum and spin scattering in graphene. Phys. Rev. B 80, 241403(R) (2009).10.1103/PhysRevB.80.241403 ↗
34. Tombros, N. et al. Anisotropic spin relaxation in graphene. Phys. Rev. Lett. 101, 046601 (2008).10.1103/PhysRevLett.101.046601 ↗
35. Castro-Neto, A. H. & Guinea, F. Impurity-induced spin–orbit coupling in graphene. Phys. Rev. Lett. 103, 026804 (2009).10.1103/PhysRevLett.103.026804 ↗
36. Huertas-Hernando, D., Guinea, F. & Brataas, A. Spin–orbit-mediated spin relaxation in graphene. Phys. Rev. Lett. 103, 146801 (2009).10.1103/PhysRevLett.103.146801 ↗
37. Ertler, C., Konschuh, S., Gmitra, M. & Fabian, J. Electron spin relaxation in graphene: the role of the substrate. Phys. Rev. B 80, 041405(R) (2009).10.1103/PhysRevB.80.041405 ↗
38. Ochoa, H., Castro-Neto, A. H. & Guinea, F. Elliot–Yafet mechanism in graphene. Preprint at http://arxiv.org/abs/1107.3386 (2011).10.1103/PhysRevLett.108.206808 ↗
39. Han, W. et al. Tunneling spin injection into single layer graphene. Phys. Rev. Lett. 105, 167202 (2010).10.1103/PhysRevLett.105.167202 ↗
40. Han, W. & Kawakami, R. K. Spin relaxation in single-layer and bilayer graphene. Phys. Rev. Lett. 107, 0472074 (2011).
41. Yang, T-Y. et al. Observation of long spin-relaxation times in bilayer graphene at room temperature. Phys. Rev. Lett. 107, 047206 (2011).10.1103/PhysRevLett.107.047206 ↗
42. Dyakonov, M. I. & Perel, V. I. Spin relaxation of conduction electrons in noncentrosymmetric semiconductors. Sov. Phys. Solid State 13, 3023–3026 (1971).
43. Jo, S., Ki, D-K., Jeong, D., Lee, H-J. & Kettemann, S. Spin relaxation properties in graphene due to its linear dispersion. Phys. Rev. B 84, 075453 (2011).10.1103/PhysRevB.84.075453 ↗
44. Ma, D., Li, Z. & Yang, Z. Strong spin–orbit splitting in graphene with adsorbed Au atoms. Carbon 50, 297–305 (2012).10.1016/j.carbon.2011.08.055 ↗
45. Varykhalov, A. et al. Electronic and magnetic properties of quasifreestanding graphene on Ni. Phys. Rev. Lett. 101, 157601 (2008).10.1103/PhysRevLett.101.157601 ↗
46. Rader, O. et al. Is there a Rashba effect in graphene on 3D ferromagnets? Phys. Rev. Lett. 102, 057602 (2009).10.1103/PhysRevLett.102.057602 ↗
47. Qiao, Z. et al. Quantum anomalous Hall effect in graphene from Rashba and exchange effects. Phys. Rev. B 82, 161414(R) (2010).10.1103/PhysRevB.82.161414 ↗
48. Weeks, C., Hu, J., Alicea, J., Franz, M. & Wu, R. Engineering a robust quantum spin Hall state in graphene via adatom deposition. Phys. Rev. X 1, 021001 (2011).
49. Moore, J. E. The birth of topological insulators. Nature 464, 194–198 (2010).10.1038/nature08916 ↗
50. Teo, J. C. Y., Fu, L. & Kane, C. L Surface states and topological invariants in three-dimensional topological insulators: application to Bi1– xSbx . Phys. Rev. B 78, 045426 (2008).10.1103/PhysRevB.78.045426 ↗
51. Culcer, D., Hwang, E. H., Stanescu, T. D. & Das Sarma, S. Two-dimensional surface charge transport in topological insulators. Phys. Rev. B 82, 155457 (2010).10.1103/PhysRevB.82.155457 ↗
52. Edelstein, V. M. Spin polarization of conduction electrons induced by electric current in two-dimensional asymmetric electron systems. Solid State Commun. 73, 233–235 (1990).10.1016/0038-1098(90)90963-C ↗
53. Dyakonov, M. I. & Khaetskii, A. V. in Spin Physics in Semiconductors (ed. Dyakonov, M. I.) Ch. 3 (Springer, 2008).10.1007/978-3-540-78820-1 ↗
54. Wunderlich, J., Kaestner, B., Sinova, J. & Jungwirth, T. Experimental observation of the spin-Hall effect in a two-dimensional spin–orbit coupled semiconductor system. Phys. Rev. Lett. 94, 047204 (2005).10.1103/PhysRevLett.94.047204 ↗
55. Dyakonov, M. I. & Perel, V. I. Current-induced spin orientation of electrons in semiconductors. Phys. Lett. A 35, 459–460 (1971).10.1016/0375-9601(71)90196-4 ↗
56. Inoue, J. I., Bauer, G. E. W. & Molenkamp, L. W. Suppression of the persistent spin Hall current by defect scattering. Phys. Rev. B 70, 41303(R) (2004).10.1103/PhysRevB.70.041303 ↗
57. Mishchenko, E. G., Shytov, A. V. & Halperin, B. I. Spin current and polarization in impure two-dimensional electron systems with spin–orbit coupling. Phys. Rev. Lett. 93, 226602 (2004).10.1103/PhysRevLett.93.226602 ↗
58. Khaetskii, A. Nonexistence of intrinsic spin currents. Phys. Rev. Lett. 96, 056602 (2006).10.1103/PhysRevLett.96.056602 ↗
59. Raimondi, R. & Schwab, P. Spin-Hall effect in a disordered two-dimensional electron system. Phys. Rev. B 71, 33311 (2005).10.1103/PhysRevB.71.033311 ↗
60. Dimitrova, O. V. Spin-Hall conductivity in a two-dimensional Rashba electron gas. Phys. Rev. B 71, 245327 (2005).10.1103/PhysRevB.71.245327 ↗
61. Kimura, T., Otani, Y., Sato, T., Takahashi, S. & Maekawa, S. Room-temperature reversible spin Hall effect. Phys. Rev. Lett. 98, 156601 (2007).10.1103/PhysRevLett.98.156601 ↗
62. Silvestrov, P. G. & Mishchenko, E. G. Spin-Hall effect in chiral electron systems: from semiconductor heterostructures to topological insulators. Preprint at http://arxiv.org/abs/0912.4658 (2009).10.1142/9789814299442_0018 ↗
63. Gao, J-H., Yuan, J., Chen, W-Q., Zhou, Y. & Zhang, F-C. Giant mesoscopic spin Hall effect on the surface of topological insulator. Phys. Rev. Lett. 106, 057205 (2011).10.1103/PhysRevLett.106.057205 ↗
64. Kane, C. L. & Mele, E. J. Z2 topological order and the quantum spin Hall effect. Phys. Rev. Lett. 95, 146802 (2005).10.1103/PhysRevLett.95.146802 ↗
65. Bernevig, B. A., Hughes, T. L. & Zhang, S-C. Quantum spin Hall effect and topological phase transition in HgTe quantum wells. Science 314, 1757–1761 (2006).10.1126/science.1133734 ↗
66. König, M. et al. Quantum spin Hall insulator state in HgTe quantum wells. Science 318, 766–770 (2007).10.1126/science.1148047 ↗
67. Kato, Y. K., Myers, R. C., Gossard, A. C. & Awschalom, D. D. Current-induced spin polarization in strained semiconductors. Phys. Rev. Lett. 93, 176601 (2004).10.1103/PhysRevLett.93.176601 ↗
68. Engel, H-A. Rashba, E. I. & Halperin, B. I. Out-of-plane spin polarization from in-plane electric and magnetic fields. Phys. Rev. Lett. 98, 036602 (2007).10.1103/PhysRevLett.98.036602 ↗
69. Zhuzin, A. A. & Burkov, A. A. Thin topological insulator film in a perpendicular magnetic field. Phys. Rev. B 83, 195413 (2011).10.1103/PhysRevB.83.195413 ↗
70. Tse, W-K. & MacDonald, A. H. Giant magneto-optical Kerr effect and universal Faraday effect in thin-film topological insulators. Phys. Rev. Lett. 105, 057401 (2010).10.1103/PhysRevLett.105.057401 ↗
71. Sinitsyn, N. A., MacDonald, A. H., Jungwirth, T., Dugaev, V. K. & Sinova, J. Anomalous Hall effect in 2D Dirac band: link between Kubo–Streda formula and semiclassical Boltzmann equation approach. Phys. Rev. B 75, 045315 (2007).10.1103/PhysRevB.75.045315 ↗
72. Culcer, D. & Das Sarma, S. Anomalous Hall response of topological insulators. Phys. Rev. B 83, 245441 (2011).10.1103/PhysRevB.83.245441 ↗
73. Essin, A. M., Moore, J. E. & Vanderbilt, D. Magnetoelectric polarizability and axion electrodynamics in crystalline insulators. Phys. Rev. Lett. 102, 146805 (2009).10.1103/PhysRevLett.102.146805 ↗
74. Qi, X-L., Li, R., Zang, J. & Zhang, S-C. Inducing a magnetic monopole with topological surface states. Science 27, 1184–1187 (2009).
75. Qi, X-L., Hughes, T. L. & Zhang, S-C. Topological field theory of time-reversal invariant insulators. Phys. Rev. B 78, 195424 (2008).10.1103/PhysRevB.78.195424 ↗
76. Tse, W-K. & MacDonald, A. H. Magneto-optical and magnetoelectric effects of topological insulators in quantizing magnetic fields. Phys. Rev. B 82, 161104(R) (2010).10.1103/PhysRevB.82.161104 ↗
77. Sushkov, A. B. et al. Far-infrared cyclotron resonance and Faraday effect in Bi2Se3 . Phys. Rev. B 82, 125110 (2010).10.1103/PhysRevB.82.125110 ↗
78. Jenkins, G. S. et al. Terahertz Kerr and reflectivity measurements on the topological insulator Bi2Se3 . Phys. Rev. B 82, 125120 (2010).10.1103/PhysRevB.82.125120 ↗
79. Valdes Aguilar, R. et al. THz response and colossal Kerr rotation from the surface states of the topological insulator Bi2Se3 . Preprint at http://arxiv.org/abs/1105.0237v3 (2011).
80. Hancock, J. N. et al. Surface state charge dynamics of a high-mobility three-dimensional topological insulator. Phys. Rev. Lett. 107, 136803 (2011).10.1103/PhysRevLett.107.136803 ↗
81. Maciejko, J., Qi, X-L., Drew, H. D. & Zhang, S-C. Topological quantization in units of the fine structure constant. Phys. Rev. Lett. 105, 166803 (2010).10.1103/PhysRevLett.105.166803 ↗
82. Tkachov, G. & Hankiewicz, E. M. Anomalous galvanomagnetism, cyclotron resonance, and microwave spectroscopy of topological insulators. Phys. Rev. B 84, 035405 (2011).10.1103/PhysRevB.84.035405 ↗
83. Garate, I. & Franz, M. Inverse spin-galvanic effect in a topological-insulator/ferromagnet interface. Phys. Rev. Lett. 104, 146802 (2010).10.1103/PhysRevLett.104.146802 ↗
84. Wray, L. A. et al. A topological insulator surface under strong Coulomb, magnetic and disorder perturbations. Nature Phys. 7, 32–37 (2011).10.1038/nphys1838 ↗
85. Vobornik, I. et al. Magnetic proximity effect as a pathway to spintronic applications of topological insulators. Nano Lett. 11, 4079–4082 (2011).10.1021/nl201275q ↗
86. Liu, Q., Liu, C-X., Xu, C., Qi, X-L. & Zhang, S-C. Magnetic impurities on the surface of a topological insulator. Phys. Rev. Lett. 102, 156603 (2009).10.1103/PhysRevLett.102.156603 ↗
87. Garate, I. & Franz, M. Magnetoelectric response of the time-reversal invariant helical metal. Phys. Rev. B 81, 172408 (2010).10.1103/PhysRevB.81.172408 ↗
88. Hong, X., Cheng, S-H., Herding, C. & Zhu, J. Colossal negative magnetoresistance in dilute fluorinated graphene. Phys. Rev. B 83, 085410 (2011).10.1103/PhysRevB.83.085410 ↗
89. Nair, R. R. et al. Spin-half paramagnetism in graphene induced by point defects. Nature Phys. 8, 199–202 (2012).10.1038/nphys2183 ↗
90. McCann, E. & Fal'ko, V. I. Landau-level degeneracy and quantum Hall effect in a graphite bilayer. Phys. Rev. Lett. 96, 086805 (2006).10.1103/PhysRevLett.96.086805 ↗
91. Xia, F., Farmer, D. B., Lin, Y-m. & Avouris, P. Graphene field-effect-transistors with high on/off current ratio and large transport band gap at room temperature. Nano Lett. 10, 715–718 (2010).10.1021/nl9039636 ↗
92. Bao, W. et al. Stacking-dependent band gap and quantum transport in trilayer graphene. Nature Phys. 7, 948–952 (2011).10.1038/nphys2103 ↗
93. Velasco, J. Jr et al. Transport spectroscopy of symmetry-broken insulating states in bilayer. Preprint at http://arxiv.org/abs/1108.1609 (2011).
94. San-Jose, P., Prada, E., McCann, E. & Schomerus, H. Pseudospin valve in bilayer graphene: towards graphene-based pseudospintronics. Phys. Rev. Lett. 102, 247204 (2009).10.1103/PhysRevLett.102.247204 ↗
95. Craciun, M. F., Russo, S., Yamamoto, M. & Tarucha, S. Tuneable electronic properties in grapheme. Nano Today 6, 42–60 (2011).10.1016/j.nantod.2010.12.001 ↗